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STCH-Set

Code for ICLR2025 Paper: Few for Many: Tchebycheff Set Scalarization for Many-Objective Optimization

The code is mainly designed to be simple and readable, it contains:

  • run_[quad_func/model_set_mixed_linear_regression/model_set_mixed_nonlinear_regression].py is a ~150-line main file to run the STCH-Set method for the problem of [convex optimization/noisy linear regression/noisy nonlinear regression];
  • model_set_[quad_func/model_set_mixed_linear_regression/model_set_mixed_nonlinear_regression].py is a simple torch.nn.Module that stores the set solutions for the problem of [convex optimization/noisy linear regression/noisy nonlinear regression];
  • problem.py contains all test problems used in this paper.

Reference

If you find our work helpful for your research, please cite our paper:

@inproceedings{lin2025few,
  title={Few for Many: Tchebycheff Set Scalarization for Many-Objective Optimization},
  author={Lin, Xi and Liu, Yilu and Zhang, Xiaoyuan and Liu, Fei and Wang, Zhenkun and Zhang, Qingfu},
  booktitle={International Conference on Learning Representations},
  year={2025}
}

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